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Finding the Third Proportional to 141,073,617 and 217,900,642.50

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Solution

The third proportional to 141,073,617 and 217,900,642.50 is: 336,566,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,073,617 : 217,900,642.50 = 217,900,642.50 : x
  2. Step 2: Convert to fraction form
    141,073,617/217,900,642.50 = 217,900,642.50/x
  3. Step 3: Cross multiply
    141,073,617x = 217,900,642.50 × 217,900,642.50
  4. Step 4: Simplify right side
    141,073,617x = 47,480,690,001,912,808
  5. Step 5: Solve for x
    x = 47,480,690,001,912,808/141,073,617
  6. Step 6: Final answer
    x = 336,566,758.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.